Which of the following is a rational number between 5 and 5 1/4 (1 point)
5 1/7
5 2/5
5 1/3
sqrt(26)
The rational number between 5 and 5 1/4 is 5 1/3.
To determine which of the given numbers is a rational number between 5 and 5 1/4, we need to understand the concept of rational numbers. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are integers.
Let's analyze each option to see if it fits the criteria:
1. 5 1/7: This is not a rational number as it is a mixed number. A mixed number contains a whole number part and a fraction part.
2. 5 2/5: This is a rational number since it can be expressed as a fraction, with the numerator being 5 multiplied by the denominator and adding the numerator (5 x 5 + 2 = 27). Therefore, 5 2/5 is a rational number between 5 and 5 1/4.
3. 5 1/3: Similar to the previous option, this is a mixed number and not a rational number.
4. √(26): This is the square root of 26, and it cannot be expressed as a fraction. Therefore, sqrt(26) is not a rational number.
Therefore, the correct answer is 5 2/5.